当前位置: X-MOL 学术Int. Math. Res. Notices › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Ulrich Bundles on Intersections of Two 4-Dimensional Quadrics
International Mathematics Research Notices ( IF 0.9 ) Pub Date : 2019-12-31 , DOI: 10.1093/imrn/rnz320
Yonghwa Cho 1 , Yeongrak Kim 2 , Kyoung-Seog Lee 3
Affiliation  

Abstract
In this paper, we investigate the moduli space of Ulrich bundles on a smooth complete intersection of two $4$-dimensional quadrics in $\mathbb P^5$. The main ingredient is the semiorthogonal decomposition by Bondal–Orlov, combined with the categorical methods pioneered by Kuznetsov and Lahoz–Macrì–Stellari. Using these methods, we prove that any smooth intersection of two 4-dimensional quadrics in $\mathbb P^5$ carries an Ulrich bundle of rank $r$ for every $r \ge 2$. Moreover, we provide a description of the moduli space of stable Ulrich bundles.


中文翻译:

两个 4 维二次曲面的交点上的 Ulrich 束

摘要
在本文中,我们研究了在 $\mathbb P^5$ 中两个 $4$ 维二次曲线的平滑完全交集上的 Ulrich 束的模空间。主要成分是 Bondal-Orlov 的半正交分解,结合 Kuznetsov 和 Lahoz-Macrì-Stellari 开创的分类方法。使用这些方法,我们证明了 $\mathbb P^5$ 中两个 4 维二次曲线的任何平滑交集对于每个 $r \ge 2$ 都带有一个秩为 $r$ 的 Ulrich 束。此外,我们提供了稳定 Ulrich 束的模空间的描述。
更新日期:2019-12-31
down
wechat
bug